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victus00 [196]
3 years ago
14

g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (

a) exactly 4 will use the restroom
Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

P(x=4) = 0.200

Step-by-step explanation:

Given

n=10 --- selected customers

x = 4 --- those that are expected to use the restroom

p =30\% = 0.30 --- proportion that uses the restroom

Required

P(x = 4)

The question illustrates binomial probability and the formula is:

P(x) = ^nC_x * p^x * (1 - p)^{n - x}

So, we have:

P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}

P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6

P(x=4) = 210* (0.30)^4 * (0.70)^6

P(x=4) = 0.200

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